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Finding the Fourth Proportional to 2,674.20, 4,011.22 and 726.34

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Solution

The fourth proportional to 2,674.20, 4,011.22 and 726.34 is: 1,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.20 : 4,011.22 = 726.34 : x
  2. Step 2: Convert to fraction form
    2,674.20/4,011.22 = 726.34/x
  3. Step 3: Cross multiply
    2,674.20x = 4,011.22 × 726.34
  4. Step 4: Simplify right side
    2,674.20x = 2,913,509.53
  5. Step 5: Solve for x
    x = 2,913,509.53/2,674.20
  6. Step 6: Final answer
    x = 1,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.